A thermodynamic model describing phase transitions with thermal memory, in terms of an entropy equation and a momentum balance for the microforces, is adressed. Convergence results and error estimates are proved for the related integrodifferential system of PDE as the sequence of memory kernels converges to a multiple of a Dirac delta, in a suitable sense.

Singular limit of an integrodifferential system related to the entropy balance

E Bonetti;P Colli;G Gilardi
2014

Abstract

A thermodynamic model describing phase transitions with thermal memory, in terms of an entropy equation and a momentum balance for the microforces, is adressed. Convergence results and error estimates are proved for the related integrodifferential system of PDE as the sequence of memory kernels converges to a multiple of a Dirac delta, in a suitable sense.
2014
Istituto di Matematica Applicata e Tecnologie Informatiche - IMATI -
Entropy equation
thermal memory
phase field model
nonlinear partial differential equations
asymptotics on the memory term.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/260517
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